- #1
meeep
- 1
- 0
I noticed that, for resistors in a parallel circuit, where R1 is < R2, the minimum value is (R1)/2, and the maximum approaches R1.
I was trying to work out why, so for two resistors, the calculation is:
R1.R2/(R1 + R2).
I thought of partial derivatives but not sure where to go after that, and after getting the curve in WolframAlpha, not sure what to do with that either.
http://www.wolframalpha.com/input/?i=plot+xy/(x+y)
Empirically, the nth case appears to be: min = (R1)/n and max = R1, but not sure how to prove it mathematically.
Any advice on what I could try next? This isn't homework, just noticed it and got curious.
I was trying to work out why, so for two resistors, the calculation is:
R1.R2/(R1 + R2).
I thought of partial derivatives but not sure where to go after that, and after getting the curve in WolframAlpha, not sure what to do with that either.
http://www.wolframalpha.com/input/?i=plot+xy/(x+y)
Empirically, the nth case appears to be: min = (R1)/n and max = R1, but not sure how to prove it mathematically.
Any advice on what I could try next? This isn't homework, just noticed it and got curious.